Here are the extended Fokker diatonic names for the intervals less than an octave available in Blackjack. Just add seven to the number in the name when you widen it by an octave. e.g. 200 cents is a major second so 1400 cents is a major ninth. Legend for interval name abbreviations: 1 unison 2 second 3 third 4 fourth 5 fifth 6 sixth 7 seventh 8 octave m = minor N = neutral M = major d = diminished P = perfect A = augmented s = sub S = super n = narrow W = wide Legend for note names: A,B,C,D,E,F,G,#,b as for 12-tET ] = quarter-tone up (+50 c) > = sixth-tone up (+33 c) ^ = twelfth-tone up (+17 c) v = twelfth-tone down (-17 c) < = sixth-tone down (-33 c) [ = quarter-tone down (-50 c) Intervals in Blackjack (A 21 note chain of 7/72 oct generators) No. Width Abbrev Example 11-limit Full name gens (cents) name ratio ---------------------------------------------------------------- 0 0 P1 G:G 1:1 perfect unison -10 33 S1 D:D> super unison -20 67 nsm2 Bb^:Bv narrow subminor second 11 83 sm2 G:G#v subminor second 1 117 m2 G:Ab^ minor second -9 150 N2 D:E[ 11:12 neutral second -19 183 nM2 A:Bv 9:10 narrow major second 12 200 M2 G:A 8:9 major second 2 233 SM2 G:A> 7:8 supermajor second -8 267 sm3 D:F< 6:7 subminor third -18 300 nm3 A:C narrow minor third 13 317 m3 G:Bb^ 5:6 minor third 3 350 N3 G:B[ 9:11 neutral third -7 383 M3 G:Bv 4:5 major third -17 417 nSM3 A:Db^ 11:14 narrow supermajor third 14 433 SM3 C:E> 7:9 supermajor third 4 467 s4 G:C< sub fourth -6 500 P4 G:C 3:4 perfect fourth -16 533 nS4 A:D> narrow super fourth 15 550 S4 C:F] 8:11 super fourth 5 583 A4 G:C#v 5:7 augmented fourth -5 617 d5 G:Db^ 7:10 diminished fifth -15 650 s5 A:E[ 11:16 sub fifth 16 667 Ws5 C:G< wide sub fifth 6 700 P5 G:D 2:3 perfect fifth -4 733 S5 G:D> super fifth -14 767 sm6 A:F< 9:14 subminor sixth 17 783 Wsm6 C:G#v 7:11 wide subminor sixth 7 817 m6 G:Eb^ 5:8 minor sixth -3 850 N6 G:E[ 11:18 neutral sixth -13 883 M6 D:Bv 3:5 major sixth 18 900 WM6 C:A wide major sixth 8 933 SM6 G:E> 7:12 supermajor sixth -2 967 sm7 G:F< 4:7 subminor seventh -12 1000 m7 D:C 9:16 minor seventh 19 1017 Wm7 C:Bb^ 5:9 wide minor seventh 9 1050 N7 G:F] 6:11 neutral seventh -1 1083 M7 G:F#v major seventh -11 1117 SM7 D:Db^ super major seventh 20 1133 WSM7 Bv:Bb^ wide super major seventh 10 1167 s8 G:G< sub octave Note that, the same interval may have more than one name consistent with this system, I'm sorry I haven't yet listed any of these alternatives. Regards, -- Dave Keenan, 1-Feb-2002, last updated 8-Feb-2002